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A family of embedded Runge-Kutta formulae

✍ Scribed by J.R. Dormand; P.J. Prince


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
504 KB
Volume
6
Category
Article
ISSN
0377-0427

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✦ Synopsis


A family of embedded Runge-Kutta formulae RK5 (4) are derived. From these are presented formulae which have (a) β€˜small’ principal truncation terms in the fifth order and (b) extended regions of absolute stability.


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✍ Rauber, Thomas; RΓΌnger, Gudula πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 151 KB πŸ‘ 1 views

In this paper, we consider the parallel solution of non-stiff ordinary differential equations with two different classes of Runge-Kutta (RK) methods providing embedded solutions: classical embedded RK methods and iterated RK methods which were constructed especially for parallel execution. For embed